Dilution can best be defined as the proportion of waste tonnage to the total weight of ore and waste in each block. Predicting the internal dilution based on geological boundaries of waste and ore in each block can help engineers to develop more reliable long-term planning designs in mining activities. This paper presents a method to calculate the geological internal dilution in each block and ...

Space-filling curves can be used to organise points in the plane into bounding-box hierarchies (such as R-trees). We develop measures of the bounding-box quality of space-filling curves that express how effective different space-filling curves are for this purpose. We give general lower bounds on the bounding-box quality measures and on locality according to Gotsman and Lindenbaum for a large c...

ACKNOWLEDGEMENTS I would like to thank my adviser Michael Zieve for teaching me to fish. I would like to thank Jeffrey Lagarias for helpful feedback in writing this thesis. I would like to thank my family (Peter, Susan, and Holly), my beautiful girlfriend Becky, and the community of Michigan graduate students for keeping me sane.

[1] The strong jet, with a speed between 500 and 600 m/s, is inferred in the equatorial region of Saturn by combining the nadir and limb observations of Composite Infrared Spectrometer (CIRS) aboard the Cassini spacecraft. A similar jet was discovered on Jupiter (F. M. Flasar et al., 2004a). These discoveries raise the possibility that intense jets are common in the equatorial stratospheres of ...

Corn silage is a palatable high energy, low protein forage that is used in most dairy rations across the US. The usage of corn silage has grown over the last decade. Seed companies have focused breeding activities on corn silage hybrids resulting in corn silage hybrid differences that rival other species in nutritional differences. When making decisions about the quality of corn silage, dairy p...

1 Introduction ....................................................................................................... 1 2 Storage factor .................................................................................................... 2 3 Parameters which determine storage factor ................................................... 2 3.1 The interarrival time distribution ..................

Modifying blasting practices to achieve a more suitable mill feed size – which varies according to the crushing/grinding circuit – can achieve up to a 30% increase in throughput. Following an initial benchmarking of an operation’s practices, SRK can advise on how value-added blasting will deliver improvements in both mill capacity and overall consistency of performance. SRK employs modelling to...

In this paper a class of quartic trigonometric Bézier curve, called QT Bézier curve, with two shape parameters is presented. These curves not only inherit most properties of the usual quartic Bézier curves in the polynomial space, but also enjoy some other advantageous properties for shape modelling. The shape of the curve can be adjusted by altering the values of shape parameters while the con...